Greene offers up a garden hose as a good example of what the fourth dimension looks like. From far away, this garden hose may look one-dimensional to the naked eye. From a distance, we simply can’t ...

The notion of dimension at first seems intuitive. Glancing out the window we might see a crow sitting atop a cramped flagpole experiencing zero dimensions, a robin on a telephone wire constrained to ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier- sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...